A magnetic field B=Bo (i+2j-4k) exists point check nature of B is solenoidal
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In a certain region static electric and magnetic fields exist. The magnetic feild is given by
B
=B
0
(
i
^
+2
j
^
−4
k
^
) . If a test charge is given by
v
=v
0
(3
i
^
+
j
^
−2
k
^
) experiences no force in that region, then the electric field in the region, in SI units, is :ANSWER
B
=B
0
(i+2j−4
k
^
)
v
=v
0
(3i−j)+2k)
Now,
B
×
v
=B
0
v
0
(−
k
^
−2j−6
k
^
+4
i
^
−12
j
^
−4
j
^
)
=B
0
v
0
(0
j
^
−14
j
^
−7
k
^
)
=−B
0
v
0
(14
j
^
+7
k
^
)
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